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51234320 = 2453173283
BaseRepresentation
bin1100001101110…
…0011000010000
310120101222021102
43003130120100
5101103444240
65030043532
71161325124
oct303343020
9116358242
1051234320
1126a14115
12151a95a8
13a7cb187
146b39584
154770815
hex30dc610

51234320 has 80 divisors (see below), whose sum is σ = 125087232. Its totient is φ = 19491840.

The previous prime is 51234299. The next prime is 51234343. The reversal of 51234320 is 2343215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 51234292 and 51234301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180899 + ... + 181181.

Almost surely, 251234320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62543616).

51234320 is an abundant number, since it is smaller than the sum of its proper divisors (73852912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51234320 is a wasteful number, since it uses less digits than its factorization.

51234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 51234320 is about 7157.8153091568. The cubic root of 51234320 is about 371.4100565581.

51234320 divided by its sum of digits (20) gives a triangular number (2561716 = T2263).

Adding to 51234320 its reverse (2343215), we get a palindrome (53577535).

The spelling of 51234320 in words is "fifty-one million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 73 80 124 146 155 248 283 292 310 365 496 566 584 620 730 1132 1168 1240 1415 1460 2263 2264 2480 2830 2920 4526 4528 5660 5840 8773 9052 11315 11320 17546 18104 20659 22630 22640 35092 36208 41318 43865 45260 70184 82636 87730 90520 103295 140368 165272 175460 181040 206590 330544 350920 413180 640429 701840 826360 1280858 1652720 2561716 3202145 5123432 6404290 10246864 12808580 25617160 51234320